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Macroscopic Models For Vehicular Flows And Crowd Dynamics Theory And Applications
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Book Synopsis Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications by : Massimiliano Daniele Rosini
Download or read book Macroscopic Models for Vehicular Flows and Crowd Dynamics: Theory and Applications written by Massimiliano Daniele Rosini and published by Springer. This book was released on 2013-03-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a systematic treatment of the theory for hyperbolic conservation laws and their applications to vehicular traffics and crowd dynamics. In the first part of the book, the author presents very basic considerations and gradually introduces the mathematical tools necessary to describe and understand the mathematical models developed in the following parts focusing on vehicular and pedestrian traffic. The book is a self-contained valuable resource for advanced courses in mathematical modeling, physics and civil engineering. A number of examples and figures facilitate a better understanding of the underlying concepts and motivations for the students. Important new techniques are presented, in particular the wave front tracking algorithm, the operator splitting approach, the non-classical theory of conservation laws and the constrained problems. This book is the first to present a comprehensive account of these fundamental new mathematical advances.
Book Synopsis Crowd Dynamics, Volume 4 by : Nicola Bellomo
Download or read book Crowd Dynamics, Volume 4 written by Nicola Bellomo and published by Springer Nature. This book was released on 2023-12-13 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics. Chapter authors approach the topic from the perspectives of mathematics, physics, engineering, and psychology, providing a comprehensive overview of the work carried out in this challenging interdisciplinary research field. The volume begins with an overview of analytical problems related to crowd modeling. Attention is then given to the importance of considering the social and psychological factors that influence crowd behavior – such as emotions, communication, and decision-making processes – in order to create reliable models. Finally, specific features of crowd behavior are explored, including single-file traffic, passenger movement, modeling multiple groups in crowds, and the interplay between crowd dynamics and the spread of disease. Crowd Dynamics, Volume 4 is ideal for mathematicians, engineers, physicists, and other researchers working in the rapidly growing field of modeling and simulation of human crowds.
Book Synopsis Crowd Dynamics, Volume 1 by : Livio Gibelli
Download or read book Crowd Dynamics, Volume 1 written by Livio Gibelli and published by Springer. This book was released on 2019-01-22 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explores the complex problems that arise in the modeling and simulation of crowd dynamics in order to present the state-of-the-art of this emerging field and contribute to future research activities. Experts in various areas apply their unique perspectives to specific aspects of crowd dynamics, covering the topic from multiple angles. These include a demonstration of how virtual reality may solve dilemmas in collecting empirical data; a detailed study on pedestrian movement in smoke-filled environments; a presentation of one-dimensional conservation laws with point constraints on the flux; a collection of new ideas on the modeling of crowd dynamics at the microscopic scale; and others. Applied mathematicians interested in crowd dynamics, pedestrian movement, traffic flow modeling, urban planning, and other topics will find this volume a valuable resource. Additionally, researchers in social psychology, architecture, and engineering may find this information relevant to their work.
Book Synopsis Multiscale Modeling of Pedestrian Dynamics by : Emiliano Cristiani
Download or read book Multiscale Modeling of Pedestrian Dynamics written by Emiliano Cristiani and published by Springer. This book was released on 2014-09-12 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents mathematical models and numerical simulations of crowd dynamics. The core topic is the development of a new multiscale paradigm, which bridges the microscopic and macroscopic scales taking the most from each of them for capturing the relevant clues of complexity of crowds. The background idea is indeed that most of the complex trends exhibited by crowds are due to an intrinsic interplay between individual and collective behaviors. The modeling approach promoted in this book pursues actively this intuition and profits from it for designing general mathematical structures susceptible of application also in fields different from the inspiring original one. The book considers also the two most traditional points of view: the microscopic one, in which pedestrians are tracked individually and the macroscopic one, in which pedestrians are assimilated to a continuum. Selected existing models are critically analyzed. The work is addressed to researchers and graduate students.
Book Synopsis Active Particles, Volume 1 by : Nicola Bellomo
Download or read book Active Particles, Volume 1 written by Nicola Bellomo and published by Birkhäuser. This book was released on 2017-04-06 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics. The contributing authors are leading experts working in this challenging field, and each of their chapters provides a review of the most recent results in their areas and looks ahead to future research directions. The approaches to studying active matter are presented here from many different perspectives, such as individual-based models, evolutionary games, Brownian motion, and continuum theories, as well as various combinations of these. Applications covered include biological network formation and network theory; opinion formation and social systems; control theory of sparse systems; theory and applications of mean field games; population learning; dynamics of flocking systems; vehicular traffic flow; and stochastic particles and mean field approximation. Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.
Book Synopsis Anomalies in Partial Differential Equations by : Massimo Cicognani
Download or read book Anomalies in Partial Differential Equations written by Massimo Cicognani and published by Springer Nature. This book was released on 2021-02-03 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions contained in the volume, written by leading experts in their respective fields, are expanded versions of talks given at the INDAM Workshop "Anomalies in Partial Differential Equations" held in September 2019 at the Istituto Nazionale di Alta Matematica, Dipartimento di Matematica "Guido Castelnuovo", Università di Roma "La Sapienza". The volume contains results for well-posedness and local solvability for linear models with low regular coefficients. Moreover, nonlinear dispersive models (damped waves, p-evolution models) are discussed from the point of view of critical exponents, blow-up phenomena or decay estimates for Sobolev solutions. Some contributions are devoted to models from applications as traffic flows, Einstein-Euler systems or stochastic PDEs as well. Finally, several contributions from Harmonic and Time-Frequency Analysis, in which the authors are interested in the action of localizing operators or the description of wave front sets, complete the volume.
Book Synopsis Hyperbolic and Kinetic Models for Self-organised Biological Aggregations by : Raluca Eftimie
Download or read book Hyperbolic and Kinetic Models for Self-organised Biological Aggregations written by Raluca Eftimie and published by Springer. This book was released on 2019-01-07 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the spatio-temporal patterns generated by two classes of mathematical models (of hyperbolic and kinetic types) that have been increasingly used in the past several years to describe various biological and ecological communities. Here we combine an overview of various modelling approaches for collective behaviours displayed by individuals/cells/bacteria that interact locally and non-locally, with analytical and numerical mathematical techniques that can be used to investigate the spatio-temporal patterns produced by said individuals/cells/bacteria. Richly illustrated, the book offers a valuable guide for researchers new to the field, and is also suitable as a textbook for senior undergraduate or graduate students in mathematics or related disciplines.
Book Synopsis Modern Problems in Applied Analysis by : Piotr Drygaś
Download or read book Modern Problems in Applied Analysis written by Piotr Drygaś and published by Birkhäuser. This book was released on 2018-03-21 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features a collection of recent findings in Applied Real and Complex Analysis that were presented at the 3rd International Conference “Boundary Value Problems, Functional Equations and Applications” (BAF-3), held in Rzeszow, Poland on 20-23 April 2016. The contributions presented here develop a technique related to the scope of the workshop and touching on the fields of differential and functional equations, complex and real analysis, with a special emphasis on topics related to boundary value problems. Further, the papers discuss various applications of the technique, mainly in solid mechanics (crack propagation, conductivity of composite materials), biomechanics (viscoelastic behavior of the periodontal ligament, modeling of swarms) and fluid dynamics (Stokes and Brinkman type flows, Hele-Shaw type flows). The book is addressed to all readers who are interested in the development and application of innovative research results that can help solve theoretical and real-world problems.
Book Synopsis Computational Science and Its Applications -- ICCSA 2015 by : Osvaldo Gervasi
Download or read book Computational Science and Its Applications -- ICCSA 2015 written by Osvaldo Gervasi and published by Springer. This book was released on 2015-06-20 with total page 857 pages. Available in PDF, EPUB and Kindle. Book excerpt: The five-volume set LNCS 9155-9159 constitutes the refereed proceedings of the 15th International Conference on Computational Science and Its Applications, ICCSA 2015, held in Banff, AB, Canada, in June 2015. The 232 revised full papers presented in 22 workshops and a general track were carefully reviewed and selected from 780 initial submissions for inclusion in this volume. They cover various areas in computational science ranging from computational science technologies to specific areas of computational science such as computational geometry and security.
Book Synopsis Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 6 by : Yurij Holovatch
Download or read book Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 6 written by Yurij Holovatch and published by World Scientific. This book was released on 2020-06-22 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the sixth volume of reviews on advanced problems of phase transitions and critical phenomena, with the first five volumes appearing in 2004, 2007, 2012, 2015, and 2018. It aims to provide an overview of those aspects of criticality and related topics that have attracted much attention due to the recent contributions. The six chapters discuss criticality of complex systems, where the new, emergent properties appear via collective behaviour of simple elements. Since all complex systems involve cooperative behaviour between many interconnected components, the field of phase transitions and critical phenomena provides a very natural conceptual and methodological framework for their study.As for the previous volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the 'Ising lectures' — a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the topic.The level of presentation makes the book readable both for professionals and the students in the field. On a larger scale, the book may contribute to promoting and deepening studies of phase transitions and critical phenomena.
Book Synopsis Mathematical Descriptions of Traffic Flow by : Gabriella Puppo
Download or read book Mathematical Descriptions of Traffic Flow written by Gabriella Puppo and published by . This book was released on 2021 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The book originates from the mini-symposium "Mathematical descriptions of traffic flow: micro, macro and kinetic models" organised by the editors within the ICIAM 2019 Congress held in Valencia, Spain, in July 2019. The book is composed of five chapters, which address new research lines in the mathematical modelling of vehicular traffic, at the cutting edge of contemporary research, including traffic automation by means of autonomous vehicles. The contributions span the three most representative scales of mathematical modelling: the microscopic scale of particles, the mesoscopic scale of statistical kinetic description and the macroscopic scale of partial differential equations. The work is addressed to researchers in the field.
Book Synopsis Hyperbolic Problems: Theory, Numerics and Applications by : Eitan Tadmor
Download or read book Hyperbolic Problems: Theory, Numerics and Applications written by Eitan Tadmor and published by American Mathematical Soc.. This book was released on 2009 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 'HYP2008', was held at the University of Maryland from June 9-13, 2008. This book, the first in a two-part volume, contains nineteen papers based on plenary and invited talks presented at the conference.
Book Synopsis Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems by : Nicola Bellomo
Download or read book Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems written by Nicola Bellomo and published by MDPI. This book was released on 2020-05-29 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This MPDI book comprises a number of selected contributions to a Special Issue devoted to the modeling and simulation of living systems based on developments in kinetic mathematical tools. The focus is on a fascinating research field which cannot be tackled by the approach of the so-called hard sciences—specifically mathematics—without the invention of new methods in view of a new mathematical theory. The contents proposed by eight contributions witness the growing interest of scientists this field. The first contribution is an editorial paper which presents the motivations for studying the mathematics and physics of living systems within the framework an interdisciplinary approach, where mathematics and physics interact with specific fields of the class of systems object of modeling and simulations. The different contributions refer to economy, collective learning, cell motion, vehicular traffic, crowd dynamics, and social swarms. The key problem towards modeling consists in capturing the complexity features of living systems. All articles refer to large systems of interaction living entities and follow, towards modeling, a common rationale which consists firstly in representing the system by a probability distribution over the microscopic state of the said entities, secondly, in deriving a general mathematical structure deemed to provide the conceptual basis for the derivation of models and, finally, in implementing the said structure by models of interactions at the microscopic scale. Therefore, the modeling approach transfers the dynamics at the low scale to collective behaviors. Interactions are modeled by theoretical tools of stochastic game theory. Overall, the interested reader will find, in the contents, a forward look comprising various research perspectives and issues, followed by hints on to tackle these.
Book Synopsis Computational Science and Its Applications – ICCSA 2024 Workshops by : Osvaldo Gervasi
Download or read book Computational Science and Its Applications – ICCSA 2024 Workshops written by Osvaldo Gervasi and published by Springer Nature. This book was released on with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Traffic and Granular Flow '13 by : Mohcine Chraibi
Download or read book Traffic and Granular Flow '13 written by Mohcine Chraibi and published by Springer. This book was released on 2014-12-05 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book continues the biannual series of conference proceedings, which has become a classical reference resource in traffic and granular research alike, and addresses the latest developments at the intersection of physics, engineering and computational science. These involve complex systems, in which multiple simple agents, be they vehicles or particles, give rise to surprising and fascinating phenomena. The contributions collected in these proceedings cover several research fields, all of which deal with transport. Topics include highway, pedestrian and internet traffic; granular matter; biological transport; transport networks; data acquisition; data analysis and technological applications. Different perspectives, i.e., modeling, simulations, experiments, and phenomenological observations are considered.
Book Synopsis Crowd Dynamics, Volume 3 by : Nicola Bellomo
Download or read book Crowd Dynamics, Volume 3 written by Nicola Bellomo and published by Springer Nature. This book was released on 2022-02-28 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume explores innovative research in the modeling, simulation, and control of crowd dynamics. Chapter authors approach the topic from the perspectives of mathematics, physics, engineering, and psychology, providing a comprehensive overview of the work carried out in this challenging interdisciplinary research field. In light of the recent COVID-19 pandemic, special consideration is given to applications of crowd dynamics to the prevention of the spreading of contagious diseases. Some of the specific topics covered in this volume include: - Impact of physical distancing on the evacuation of crowds- Generalized solutions of opinion dynamics models- Crowd dynamics coupled with models for infectious disease spreading- Optimized strategies for leaders in controlling the dynamics of a crowd Crowd Dynamics, Volume 3 is ideal for mathematicians, engineers, physicists, and other researchers working in the rapidly growing field of modeling and simulation of human crowds.
Book Synopsis Computational Science and Its Applications -- ICCSA 2013 by : Beniamino Murgante
Download or read book Computational Science and Its Applications -- ICCSA 2013 written by Beniamino Murgante and published by Springer. This book was released on 2013-06-22 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: The five-volume set LNCS 7971-7975 constitutes the refereed proceedings of the 13th International Conference on Computational Science and Its Applications, ICCSA 2013, held in Ho Chi Minh City, Vietnam in June 2013. The 248 revised papers presented in five tracks and 33 special sessions and workshops were carefully reviewed and selected. The 46 papers included in the five general tracks are organized in the following topical sections: computational methods, algorithms and scientific applications; high-performance computing and networks; geometric modeling, graphics and visualization; advanced and emerging applications; and information systems and technologies. The 202 papers presented in special sessions and workshops cover a wide range of topics in computational sciences ranging from computational science technologies to specific areas of computational sciences such as computer graphics and virtual reality.
